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Robust Dynamic Panel Data Models Using ?-contamination

Author

Listed:
  • Badi H. Baltagi
  • Georges Bresson
  • Anoop Chaturvedi
  • Guy Lacroix

Abstract

This paper extends the work of Baltagi et al. (2018) to the popular dynamic panel data model. We investigate the robustness of Bayesian panel data models to possible misspecification of the prior distribution. The proposed robust Bayesian approach departs from the standard Bayesian framework in two ways. First, we consider the ε-contamination class of prior distributions for the model parameters as well as for the individual effects. Second, both the base elicited priors and the ε-contamination priors use Zellner (1986)'s g-priors for the variance-covariance matrices. We propose a general "toolbox" for a wide range of specifications which includes the dynamic panel model with random effects, with cross-correlated effects à la Chamberlain, for the Hausman-Taylor world and for dynamic panel data models with homogeneous/heterogeneous slopes and cross-sectional dependence. Using a Monte Carlo simulation study, we compare the finite sample properties of our proposed estimator to those of standard classical estimators. The paper contributes to the dynamic panel data literature by proposing a general robust Bayesian framework which encompasses the conventional frequentist specifications and their associated estimation methods as special cases.

Suggested Citation

  • Badi H. Baltagi & Georges Bresson & Anoop Chaturvedi & Guy Lacroix, 2020. "Robust Dynamic Panel Data Models Using ?-contamination," CIRANO Working Papers 2020s-07, CIRANO.
  • Handle: RePEc:cir:cirwor:2020s-07
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    File URL: https://cirano.qc.ca/files/publications/2020s-07.pdf
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    References listed on IDEAS

    as
    1. Baltagi, Badi H. & Bresson, Georges & Chaturvedi, Anoop & Lacroix, Guy, 2018. "Robust linear static panel data models using ε-contamination," Journal of Econometrics, Elsevier, vol. 202(1), pages 108-123.
    2. Shrivastava, Arvind & Chaturvedi, Anoop & Bhatti, M. Ishaq, 2019. "Robust Bayesian analysis of a multivariate dynamic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 528(C).
    3. William R. Fairweather, 1972. "A Method of Obtaining an Exact Confidence Interval for the Common Mean of Several Normal Populations," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 21(3), pages 229-233, November.
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    More about this item

    Keywords

    Dynamic Model; ?-contamination; g-priors; Type-II Maximum Likelihood Posterior Density; Panel Data; Robust Bayesian Estimator; Two-Stage Hierarchy;
    All these keywords.

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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